02.17A · Cours 17 — Magnétisme III

Course 17 — Magnetism III

1. Physique · 27 pages

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Course 17 — Magnetism III

Magnetism II Review

1Faraday's Law and Lenz's Law 2Lorentz Force and AC Generator 3Self-Induction and RL Circuits

Magnetism III — Agenda

4Magnetism III — Agenda

Angular Momentum and Magnetic Moment

5Orbital Angular Momentum of an Electron 6Magnetic Moment and Gyromagnetic Factor

7Spin as Intrinsic Angular Momentum 8Precession — Spinning Top Analogy 9Precession — Proton in Magnetic Field

Larmor Frequency

10Derivation of ω_L = γB 11Numerical Values for Proton

Magnetic Resonance Imaging (MRI)

12The Static Field B₀ 13Radiofrequency Field — Rotating B_RF 14RF Pulse and Flip Angle 15RF Pulse and Flip Angle (cont.)16Signal Reception — Faraday Induction 17Signal Reception (cont.)19Signal Reception — Magnetization Components 20T₁ and T₂ Relaxation — Exponential Decay 21Relaxation Times — Tissue Contrast 22Slice Selection via Field Gradient

Energy of Electric and Magnetic Fields

23Electric Field Energy Density 24RL Circuit Energy Analysis 25Magnetic Field Energy Density

Four Fundamental Relations of EM

26Four Fundamental Relations of EM

Schedule and Logistics

27Schedule and Logistics

02.17APage 1Magnetism II ReviewFaraday's Law and Lenz's Law

Cours 17 — Magnétisme III page 1

02.17APage 2Magnetism II ReviewLorentz Force and AC Generator

Cours 17 — Magnétisme III page 2

02.17APage 3Magnetism II ReviewSelf-Induction and RL Circuits

Cours 17 — Magnétisme III page 3

02.17APage 4Magnetism III — Agenda

Cours 17 — Magnétisme III page 4

02.17APage 5Angular Momentum and Magnetic MomentOrbital Angular Momentum of an Electron

Cours 17 — Magnétisme III page 5

02.17APage 6Angular Momentum and Magnetic MomentMagnetic Moment and Gyromagnetic Factor

Cours 17 — Magnétisme III page 6

02.17APage 7Proton SpinSpin as Intrinsic Angular Momentum

Cours 17 — Magnétisme III page 7

02.17APage 8Proton SpinPrecession — Spinning Top Analogy

Cours 17 — Magnétisme III page 8

02.17APage 9Proton SpinPrecession — Proton in Magnetic Field

Cours 17 — Magnétisme III page 9

02.17APage 10Larmor FrequencyDerivation of ω_L = γB

Cours 17 — Magnétisme III page 10

02.17APage 11Larmor FrequencyNumerical Values for Proton

Cours 17 — Magnétisme III page 11

02.17APage 12Magnetic Resonance Imaging (MRI)The Static Field B₀

Cours 17 — Magnétisme III page 12

02.17APage 13Magnetic Resonance Imaging (MRI)Radiofrequency Field — Rotating B_RF

Cours 17 — Magnétisme III page 13

02.17APage 14Magnetic Resonance Imaging (MRI)RF Pulse and Flip Angle

Cours 17 — Magnétisme III page 14

02.17APage 15Magnetic Resonance Imaging (MRI)RF Pulse and Flip Angle (cont.)

Cours 17 — Magnétisme III page 15

02.17APage 16Magnetic Resonance Imaging (MRI)Signal Reception — Faraday Induction

Cours 17 — Magnétisme III page 16

02.17APage 17Magnetic Resonance Imaging (MRI)Signal Reception (cont.)

Cours 17 — Magnétisme III page 17

02.17APage 18Magnetic Resonance Imaging (MRI)Signal Reception (cont.)

Cours 17 — Magnétisme III page 18

02.17APage 19Magnetic Resonance Imaging (MRI)Signal Reception — Magnetization Components

Cours 17 — Magnétisme III page 19

02.17APage 20Magnetic Resonance Imaging (MRI)T₁ and T₂ Relaxation — Exponential Decay

Cours 17 — Magnétisme III page 20

02.17APage 21Magnetic Resonance Imaging (MRI)Relaxation Times — Tissue Contrast

Cours 17 — Magnétisme III page 21

02.17APage 22Magnetic Resonance Imaging (MRI)Slice Selection via Field Gradient

Cours 17 — Magnétisme III page 22

02.17APage 23Energy of Electric and Magnetic FieldsElectric Field Energy Density

Cours 17 — Magnétisme III page 23

02.17APage 24Energy of Electric and Magnetic FieldsRL Circuit Energy Analysis

Cours 17 — Magnétisme III page 24

02.17APage 25Energy of Electric and Magnetic FieldsMagnetic Field Energy Density

Cours 17 — Magnétisme III page 25

02.17APage 26Four Fundamental Relations of EM

Cours 17 — Magnétisme III page 26

02.17APage 27Schedule and Logistics

Cours 17 — Magnétisme III page 27